Given a four-dimensional manifold (M, g), we study the existence of a conformal metric for which the Q-curvature, associated to a conformally invariant fourth-order operator (the Paneitz operator), is constant. Using a topological argument, we obtain a new result in cases which were still open
A fourth order uniformization theorem on some four manifolds with large total Q-curvature
Djadli, Zindine;Malchiodi, Andrea
2005
Abstract
Given a four-dimensional manifold (M, g), we study the existence of a conformal metric for which the Q-curvature, associated to a conformally invariant fourth-order operator (the Paneitz operator), is constant. Using a topological argument, we obtain a new result in cases which were still openFile in questo prodotto:
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